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Localization of low-energy eigenfunctions in Šeba billiards.

作者信息

Lee Minjae

机构信息

Department of Mathematics, University of California, Berkeley, California 94720, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062904. doi: 10.1103/PhysRevE.90.062904. Epub 2014 Dec 1.

DOI:10.1103/PhysRevE.90.062904
PMID:25615161
Abstract

We investigate localization of low-energy modes of the Laplacian with a point scatterer on a rectangular plate. We observe that the point scatterer acts as a barrier confining the low-level modes to one side of the plate while assuming the Dirichlet boundary condition at a point does not induce this type of localization. This low-energy phenomenon extends to higher modes as we increase the eccentricity of the plate.

摘要

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